Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

$\left \{ {{\frac{1}{x}, if x$

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

$f(x)=\frac{1}{x}$

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

$f(x)=x^{2}$

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

$-3$

So, evaluating the function we have:

$f(x)=\frac{1}{x}$

$f(-3)=\frac{1}{-3}$

$f(-3)=-\frac{1}{3}$

Hence, we have that the answer is the fourth option,

$f(-3)=-\frac{1}{3}$

Have a nice day!

7 0

3 years ago

10. Mindy goes to the pool three times as many days as her friend. If Mandy

erma4kov [3.2K]

It’s b because if Mandy goes 18 days and her friend goes 3 times the days she goes.

6 0

3 years ago

A triangle with three acute angles and no congruent sides

Sauron [17]

The answer should be an acute scalene triangle.

Hope this helped! ♡

8 0

3 years ago